Answer:
6
Step-by-step explanation:
3x-4=14
3x=14+4
3x=18
x=6
Answer:
x = 6
Step-by-step explanation:
[tex]x+(-4)+2x=14\\\\ \text{Distribute '+' into '-4' : }\\ x-4+2x=14\\\text{Combine Like Terms: }\\x+2x-4=14\\3x-4=14\\\text {Add 4 to Both Sides: }\\3x-4+4=14+4\\3x=18\\\text{Divide both sides by 3: }\\\frac{3x}{3}=\frac{18}{3}\\\huge\boxed{x=6}[/tex]
What is the length of segment GH?
Answer:
4√5
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Coordinates given:
H(8, 1)
G(0, -3)
d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5
Answer:
StartRoot 80 EndRoot
80 square root is the answer
Step-by-step explanation:
|GH|² = (8 - 0)² + (1 - (-3))²
|GH|² = 64 + 16
|GH|² = 80
GH = sqrt(80)
pls mark as brainliest
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
Find the 96th term of the arithmetic sequence -16, -28, -40, ...
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.
-1156Answer:
Step-by-step explanation:
Can somebody PLEASE help me with this :) ??
Answer:
Ab, De
Step-by-step explanation:
You need the base and the height in order to find out if the triangles are similar
I NEED HELP PLEASE, THANKS! :)
Answer:
Graph A
Step-by-step explanation:
You can use symmetry to find the inverse of a function because you know that the inverse of a function will be that function reflected across the line y=x. This is a line that has a slope of 1 and runs through the origin. Taking a look at the graph choices given, the only one that appears to have been reflected across y=x is graph A, since all of the points of pre-image and the corresponding points on the image are equally distant from y=x. Hope this helps!
Answer: A (the first graph)
Step-by-step explanation:
Inverse is when you swap the x's and y's
A = (x, y) → A⁻¹ = (y, x)
I took three points from the graph (labeled A, B, C) and found their inverse.
A = (-7, 0) → A⁻¹ = (0, -7)
B = (0, 7) → B⁻¹ = (7, 0)
C = (9, 9) → C⁻¹ = (9, 9)
see graph below
Can I have help plz ASAP
Answer:
A: 4
B: -2
Step-by-step explanation:
calculate dy/dx:
A: 1 to the right and 4 up: gradient is 4/1 = 4
B: 2 to the right and 4 down: gradient is 4/-2 = -2
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
4x + 16 less than or equal to 18
Answer:
x≤1/2
Step-by-step explanation:
4x+16 ≤18
Subtract 16 from each side
4x+16-16 ≤18-16
4x≤2
Divide by 4
4x/4 ≤2/4
x≤1/2
14
[tex]14 \geqslant x - 8[/tex]
Answer:
Inequality form
x </ 22
Interval Notation
(-∞,22]
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the varible
When solving, you took the square root of both
sides of the equation. Consider this step when
completing the following statements.
The roots are imaginary because of the
1) negative radicand.
2) non perfect square radicand
3) need to identify + and - roots of the radicand
Answer:
Step-by-step explanation:
Negative Radicand
The roots of the equation are imaginary because of negative radicand.
What is an imaginary number?An imaginary number is a number that, when squared, has a negative result. Essentially, an imaginary number is the square root of a negative number and does not have a tangible value.
According to the given question.
We have to take square root both sides of the equation.
Then we get imaginary roots only when there is some negative number under the radical symbol. That is when the radicand is negative.
Hence, the roots of the equation are imaginary because of negative radicand.
Thus, option 1 is correct.
Find out more information about imaginary roots here:
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anybody please help me :( I don’t know the answer ??
elimination means to get rid of one variable by altering the coefficients of variable (by multiplying and diving by some constant number)
in this case, if you just add the two equation, y gets cancelled you get 5x=20 or x=4
put it in any equation to get y (this works because both lines pass through the same point, so they must satisfy that point) to get y=2
Answer: (4,2)
Step-by-step explanation:
You can solve this systems of equation by substitution, graphing, and elimination
Solving by Elimination was found to be the easiest for me.
3x+2y=16
2x-2y=4
eliminate 2y because a positive and a negative will equal zero.
3x+2x=5x, 16+4=20
5x=20, divide 5 on both sides
x=4
Now we solve for y
You can plug in 4 for x in either equations
I did the first equation
3(4) +2y=16
3*4=12
12+2y=16
-12 -12
2y=4
divide 2 on both sides
y=2
Answer is (4,2)
Mark brainlist please
Haley’s work evaluating (-2)8 squared is shown below.
Which statement best describe Haley’s first error?
A.She used the wrong number as a repeated factor and should have
B.She used the wrong number as a repeated factor and should have evaluated
C.She misinterpreted the exponential form and should have multiplied –2 and 8.
D.She made a sign error when multiplying and should have had 256 as a final answer. its D on edge
Answer:
D
Step-by-step explanation:
she made a sign error when multiplying and should have had 256 as an answer
Answer:
the answer is D
Step-by-step explanation:
I'm taking the test now
Which angles form a linear pair?
Answer:
b. is correct
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Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
Which statement is true regarding the graphed functions?
f(4) = g(4)
f(4) = g(-2)
f(2)= g(-2)
f(-2)=g(-2)
y =1/3 x – 4 3y – x = –7
Answer:
There are no solutions.
Step-by-step explanation:
3y - x = - 7
Put y as 1/3x - 4.
3(1/3x - 4) - x = - 7
1x - 12 - x = -7
0 - 12 = -7
-12 = -7
No solutions.
Please help me find the answer to this sequence? :)
Answer:
2....6......10........14.......18
Step-by-step explanation:
Add 4 each time
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
A cup of hot coffee will, over time, cool down to room temperature. The principle of physics governing the process is Newton's Law of Cooling. The temperature (in degrees Fahrenheit) of a cup of coffee can be modeled by the following equation: f(t)=80+120e^(-0.08t) Here the time t is measured in minutes after the coffee was poured into the cup. A. Explain, using the structure of the expression 80+120e^(-0.08t), why the coffee temperature decreases as time elapses (8 points). B. What is the temperature of the coffee at the beginning of the experiment (7 points)? C. Drinking coffee at 175 degrees can possibly burn your tongue. After waiting for 2 minutes, Leo became impatient and decided to drink the coffee. Will he be alright (7 points)? D. The ideal temperature to drink coffee is between 120 to 140 degrees, as many of the more subtle flavors of coffee are revealed. When is the best time for Leo to drink coffee (8 points)?
Answer:
A. Because the coefficient of time is negative .
The value of t decreases as time passes .
The temperature of the coffee decreases as time passes and the coffee will evemtually cool down to room temperature
B. At the beginning , t=0
Hence Temperature will be 80 + 120 = 200º
c. He wont be alright . High temperature , less time to cool down . So he wont be alright . Coffee might still be hot .
D. Assuming the temp is 130º
80 + 120ᵅ⁻⁰·⁰⁰⁸ˣ = 130
120ᵅ⁻⁰·⁰⁰⁸ˣ =130-80
120ᵅ⁻⁰·⁰⁰⁸ˣ =50
a-0.008x =(50/120)
0.008x = ln(0.416)
x = 10.962 =11mins
so he has to wait 11 mins to drink.
Step-by-step explanation:
f(t)=80+120e^(-0.08t)
-----------------------
A) Temperature decreases over time as the coefficient of time is negative (-0.08)B. t=0 ⇒ f(0)= 80 + 120*1 = 200 degC. t=2 ⇒ f(2)= 80+120*e^(-0.08*2) ≈ 182 degCoffee is still hot. He won't be alright. He needs to wait more
D. f(x)= 12080+120e^(-0.08x)= 120120e^(-0.08x)=40e^(-0.08x)=1/3-0.08x= ln(1/3)-0.08x= -1.0986x= -1.0986/-0.08x ≈ 14 minbest time is ≈ 14 min
Solve for X
A) 9
B) 16
C) 4
Answer:
B) 16
Step-by-step explanation:
8/x= cos 608/x= 1/2x= 8*2x= 16Answer:
B. 16
Step-by-step explanation:
CAH = Adjacent/Hypotenuse
cos60=8/x
xcos60=8
x= 8/cos60
x=8/0.5
x= 16
what are the exact values of a and b?
The exact value of a and b is 5 and 5√3 respectively. Thus option D) is correct
From triangle ABC
We have AB = 10 ; And angle A = 30°
Trigonometry is the branch of mathematics that deal with study of triangles.
Now,
cos30= AC/AB
√3/2=b/10
b=5√3
Sin30 = BC/AB
1/2 = a/10
a = 5
Thus, the required value is a = 5, b = 5√3
Learn more about trigonometry here:
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Answer:
its the last option
Step-by-step explanation:
if the perimeter of regular hexagon is 10 cm, what is the radius of the circle curcumscribing the polygon?
Answer:
60
Step-by-step explanation:
hexagon is 6 sided shape. 10 * 6=60
The sides of ∆ABC inscribed in a circle are equidistant from the center. Tricia says that ∆ABC must be equilateral. Which explains whether Tricia is correct?
Answer:
Tricia is correct because the sides of the triangle are congruent since they are equidistant from the center of the circle.
Step-by-step explanation:
Given that the sides of ΔABC inscribed in a circle are equidistant from the center. This implies the triangle is drawn within the circumference of the circle with a center.
Bisecting the three sides of the triangle shows that the three bisectors intersect at a point which is the center of the circle, and the lines are equidistant to this point. This proves that the length of the sides of the triangle are equal, so that the triangle is an equilateral triangle. Therefore, Tricia's statement is correct.
What is domain of f.
Answer:
A domain is part of a function f if f is defined as a triple.
Step-by-step explanation:
A domain is part of a function f if f is defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. A domain is not part of a function f if f is defined as just a graph.
I hope this helps. I am sorry if you get this wrong.
What is the y-coordinate of the point that divides the
directed line segment from J to k into a ratio of 5:1?
O -8
O -5
O 0
O 6
Answer:
[tex]y = 0[/tex]
Step-by-step explanation:
Given
Line segment JK
[tex]J = (1,-10)[/tex]
[tex]K = (7,2)[/tex]
Ratio; [tex]m:n= 5:1[/tex]
Required
Find the coordinates of y
From the question; the formula to use is
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex]
We have that; m = 5; n = 1
[tex]J =(x_1, y_1) = (1,-10)[/tex]
Hence, [tex]y_1 = -10[/tex]
[tex]K = (x_2,y_2)= (7,2)[/tex]
Hence, [tex]y_2 =2[/tex]
Substitute the above values in the given formula;
[tex]y = (\frac{m}{m+n})(y_2 - y_1) + y_1[/tex] becomes
[tex]y = (\frac{5}{5+1})(2 - (-10)) + (-10)[/tex]
Solve brackets
[tex]y = (\frac{5}{6})(2 +10)) - 10[/tex]
[tex]y = (\frac{5}{6})(12)) - 10[/tex]
Open bracket
[tex]y = \frac{5}{6} * 12 - 10[/tex]
[tex]y = \frac{5*12}{6}- 10[/tex]
[tex]y = \frac{60}{6}- 10[/tex]
[tex]y = 10 - 10[/tex]
[tex]y = 0[/tex]
Answer: 0
Step-by-step explanation:
Write the equation of the line that is parallel to the given segment and that passes through the point (-3,0).
A. y=-3x + 9
B.
-1
y = -X-1
3
C.
1
y=-x+1
D. y = 3x - 1
Answer:
Option (B)
Step-by-step explanation:
In the figure attached,
A straight line is passing through two points (0, 2) and (3, 1).
Slope of this line ([tex]m_1[/tex]) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{2-1}{0-3}[/tex]
= [tex]-\frac{1}{3}[/tex]
Let the slope of a parallel to the line given in the graph = [tex]m_2[/tex]
By the property of parallel lines,
[tex]m_1=m_2[/tex]
[tex]m_2=-\frac{1}{3}[/tex]
Equation of a line passing through a point (x', y') and slope 'm' is,
y - y' = m(x - x')
Therefore, equation of the parallel line which passes through (-3, 0) and having slope = [tex]-\frac{1}{3}[/tex] will be,
[tex]y-0=-\frac{1}{3}(x+3)[/tex]
[tex]y=-\frac{1}{3}x-1[/tex]
Option (B). will be the answer.
If f(x) = 6x -4, what is f(x) when x = 8?
A.2
B.16
C.44
D.52
Step-by-step explanation:
[tex] f(x) = 6x -4 \\ f(8) \\ f(x) = 6(8) - -4 \\ f(x) = 48 - 4 \\ f(x) = 44
[/tex]
Answer:
C.44
Step-by-step explanation:
Basically, the question is asking for you to plug in 8 for x into the equation, since the function of x is represented by the equation. Therefore, plug in 8 into the equation like this: 6(8)-4
Multiply 6 and 8, then subtract 4 from the product to get your answer
a = 7cm, b = 14cm
Q1. Calculate the area and perimeter of the following ring where
(i)
Area of Ring:
(ii)
Perimeter of Ring:
Answer:
A =7 B=14
Step-by-step explanation:
AREA OF RING
PERIMETER OF RING
Help? Please ...........
Answer:
It is a diagnal line that goes through (0,0) and (1,1) and has a slope of 1
Step-by-step explanation: